T-equivariant K-theory of generalized flag varieties.

Clicks: 361
ID: 97351
1987
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This article has not been analysed, so there is no overall score — reader engagement is measured and shown alongside.
AI Quality Assessment
Not analyzed
Readership in this journal
Star

Ranked #53 of 292 articles by views in Proceedings of the National Academy of Sciences of the United States of America

Most read Least read

Bar heights use a square-root scale. Only the 120 most-read articles are drawn; the journal has 292 in total.

Mint this article as an NFT
Not yet minted

Create a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.

5 SUSD one-off · no wallet required
Sign in to mint
Abstract
Let G be a Kac-Moody group with Borel subgroup B and compact maximal torus T. Analogous to Kostant and Kumar [Kostant, B. & Kumar, S. (1986) Proc. Natl. Acad. Sci. USA 83, 1543-1545], we define a certain ring Y, purely in terms of the Weyl group W (associated to G) and its action on T. By dualizing Y we get another ring Psi, which, we prove, is "canonically" isomorphic with the T-equivariant K-theory K(T)(G/B) of G/B. Now K(T)(G/B), apart from being an algebra over K(T)(pt.) approximately A(T), also has a Weyl group action and, moreover, K(T)(G/B) admits certain operators {D(w)}w[unk]W similar to the Demazure operators defined on A(T). We prove that these structures on K(T)(G/B) come naturally from the ring Y. By "evaluating" the A(T)-module Psi at 1, we recover K(G/B) together with the above-mentioned structures. We believe that many of the results of this paper are new in the finite case (i.e., G is a finite-dimensional semisimple group over C) as well.
Reference Key
kostant1987tequivariantproceedings Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Kostant, B;Kumar, S;
Journal Proceedings of the National Academy of Sciences of the United States of America
Year 1987
DOI
DOI not found
URL URL not found
Keywords
Monoclonal antibody ultrafiltration microfiltration acetonitrile (pubchem cid:6342) bioprocessing scale-down cross-flow filtration igg (pubchem cid:190955) lysozyme (pubchem cid:24839946) polymethyl methacrylate (pubchem cid:6658) tangential flow filtration trifluoroacetic acid (pubchem cid:6422)

Citations

No citations found. To add a citation, contact the admin at info@scimatic.org

Comments

No comments yet. Be the first to comment on this article.